arXiv subjects

Ronan Flatley

Publications and source records attributed to Ronan Flatley.

2 recordsLinked to original sources

arXiv2013

Symmetric Powers of Hyperbolic Forms and of Trace Forms on Symbol Algebras

Let $K$ be a field with characteristic different from 2 and let $S$ be a symbol algebra over $K$. We compute the symmetric powers of hyperbolic quadratic forms over $K$. Also, we compute the symmetric powers of the quadratic trace form of $S$. In both cases we apply a generalised form of the Vandermonde convolution in the course of the computations.

math.RA↗

arXiv2008

Trace Forms of Symbol Algebras

Let S be a symbol algebra. The trace form of S is computed and it is shown how this form can be used to determine whether S is a division algebra or not. In addition, the exterior powers of the trace form of S are computed.

math.RA↗